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Study Guides for Statistics at Australian National University (ANU)

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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Normal Distribution, Confidence Interval, Prediction Interval

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Additive: p(a or b) = p(a)+p(b)-p(a and b). Multiplicative: p(a and b) = p(a) p(b if a). Conditional: p(b if a) = p(a and b)/p(a). ( event b happens if
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Simple Random Sample, Dependent And Independent Variables, Bar Chart

OC24957222 Page
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Pop = all individuals or objects of interest. data collected from a sample = subset of pop. size of sample : n. Statistical inference = process of usin
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ANUSTAT1008BronwynSpring

STAT1008 Study Guide - Final Guide: Type I And Type Ii Errors, Confidence Interval, Null Hypothesis

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Events a and b are independent if : p(a if b) = p(a, p(a and b) = p(a)p(b) Binomial probability: (cid:1876) =(cid:1840)(cid:4666) ,(cid:1845)(cid:1831)
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Central Limit Theorem, Confidence Interval, Normal Distribution

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Normal distribution: a normal distribution has a symmetric bell-shaped density curve, two features distinguish one normal density from another, the mea
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Sampling Distribution, Confidence Interval, Interval Estimation

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Sampling distribution the distribution of sample statistics computed for different samples of the same size from the same population. It shows us how t
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Central Limit Theorem, Confidence Interval, Statistical Hypothesis Testing

OC24470244 Page
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Sufficiently large n: the larger the sample size, the smaller the se, the larger the sample size, the more like a normal distribution it becomes. A nor
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Bayes Estimator, Venn Diagram, Conditional Probability

OC24470243 Page
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If there are equally likely outcomes, then p(a) = no. of outcomes of event a/total no. of outcomes. If a and b are disjoint, then p (a or b) = p (a) +
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ANUSTAT1008BronwynSpring

STAT1008 Study Guide - Midterm Guide: Binomial Distribution, Confidence Interval, Dependent And Independent Variables

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When numbers are in categories they are categorical e. g. income. Sampling bias occurs when the method of selecting a sample causes the sample to diffe
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Null Hypothesis, Statistical Hypothesis Testing, Statistic

OC24470244 Page
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Statistical significance: when results as extreme as the observed sample statistic are unlikely to occur by random chance alone (assuming the null hypo
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Dependent And Independent Variables, Test Statistic, Confounding

OC24470243 Page
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Multiple regression: response variable: y (quantitative, k predictors: x1, x2, xk (quantitative or 0/1 categories, model: y = 0 + 1x1 + 2x2 + + kxk + ,
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Simple Random Sample, Dependent And Independent Variables, Sampling Bias

OC24470241 Page
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Collecting data: data are a set of measurements taken on a set of individual units. If using one variable to help understand or predict values of anoth
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ANUSTAT1008BronwynSummer

STAT1008 Study Guide - Final Guide: Confidence Interval, Observational Error, Dependent And Independent Variables

OC24470243 Page
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Confidence interval for slope the slope. t* uses n-2 degrees of freedom: the population/true simple linear model is, 0 and 1 are unknown parameters, es
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